Solve 2ax^2-18a

$$2 a x ^ { 2 } - 18 a$$

Factor

$$2a\left(x-3\right)\left(x+3\right)$$

Solution Steps

Factor out 2.

$$2\left(ax^{2}-9a\right)$$

Consider ax^{2}-9a. Factor out a.

$$a\left(x^{2}-9\right)$$

Consider x^{2}-9. Rewrite x^{2}-9 as x^{2}-3^{2}. The difference of squares can be factored using the rule: p^{2}-q^{2}=\left(p-q\right)\left(p+q\right).

$$\left(x-3\right)\left(x+3\right)$$

Rewrite the complete factored expression.

$$2a\left(x-3\right)\left(x+3\right)$$

Evaluate

$$2a\left(x^{2}-9\right)$$